Posted by **Kameesha** on Sunday, August 5, 2012 at 1:49pm.

Graph the function using transformations. Show your work and state

a) the domain

b) the range

c) the asymptotes

f(x) = 3 - 1/(x + 4)^2

- College Algebra -
**Steve**, Sunday, August 5, 2012 at 5:49pm
if g(x) = 1/x^2

1/(x+4)^2 is g(x) shifted left 4 units

-1/(x+4)^2 flips it over the y-ais

3 - 1/(x+4)^2 shifts it up 3 units

so, f(x) is 1/x^2 shifted left, reflected, and then shifted up.

Same with the asymptotes, which I am sure you can figure out for 1/x^2.

domain is all reals except x = -4

range is all reals < 3

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